SOLUTION: If Dr. Suzuki rides his bike to his office, he averages12 miles per hour. If he drives his car, heaverages 36 miles per hour. His time driving is 1/4 hour less than his time bicy
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-> SOLUTION: If Dr. Suzuki rides his bike to his office, he averages12 miles per hour. If he drives his car, heaverages 36 miles per hour. His time driving is 1/4 hour less than his time bicy
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Question 77255: If Dr. Suzuki rides his bike to his office, he averages12 miles per hour. If he drives his car, heaverages 36 miles per hour. His time driving is 1/4 hour less than his time bicycling. How far is his office? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! If he averages 12 miles per hour on his bike, and he averages 36 miles per hour
if he drives. His time driving is 1/4 hour less than his time bicycling. How far is his office?
:
Let t = time on the bike
Then (t-.25) = time in the car
:
It's easy to find t, then we can find the distance from that:
Write a distance equation; Distance = Speed * time
:
car dist = bike dist
36(t-.25) = 12t
36t - 9 = 12t
36t - 12t = +9
24t = 9
t = 9/24
t = .375 hrs
:
Find distance using time on the bike:
.375 * 12 = 4.5 miles
:
Check solution using time in the car:
(.375 -.25) * 36
.125 * 36 = 4.5 miles also
:
Make sense to you?
